Heh, I'm probably not a good example to go off of, but I had an ex who was being harassed by a guy she saw while we were split up that was telling her to kill herself and shit like that. She's got severe issues with depression as well, so his words had an effect on her. What I chose to do was smash his car window with a baseball bat. Probably not the best decision, lol.

Simplest advice: why bother listening to them? When it comes to something like self-worth and suicide, your own thoughts are the most important. Don't let some asshole make you feel bad enough to contemplate such a permanent action. Easy to say but hard to do: rise above it. Don't listen to them. They're just trying to hurt you. Think of them as nothing more than an angry little kid calling you names. How would you react to a 5 year old calling you names and saying those things to you? You probably wouldn't care, right? Try to think of it like that.

When someone is actively trying to hurt you, their words are all that much weaker. They use whatever they can to hurt you, even if it's something false or stupid. Don't let things like that get to you.